Question

A cone jas a volume of 40 cubic inches and 8 inches tall follow the steps to find the base of the cone

Answer 1

15 inches

Explanation:

The volume of a cone is denoted by: V =
`(1)/(3) \pi r^2h`, where r is the radius and h is the height. Here, we already know that V = 40 and that h = 8, so plug these in to find πr², which is the area of the base:

V =
`(1)/(3) \pi r^2h`

40 =
`(1)/(3) \pi r^2*8`

πr² = 15

The area of the base of the cone is 15 inches.

Answer 2

Area of the base = 15 in.²

Explanation:

Volume and height are given, which we can use to find the radius of the base. We can use the formula for the volume of a cone.

`V = (1)/(3)\pi r^2h` Substitute the known variables.

`40 = (1)/(3) \pi r^2(8)` Multiply both sides by
`(3)/(8)`.

`15 = \pi r^2` Now we have
`\pi r^2` which is the area of the base.

Area of the base = 15 in.²